When is the work done positive or negative while moving a small charge?
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ANSWER :
The work done moving a small charge will be positive when the charge is moved in the direction of force.
The work done moving a small charge will be negative when the charge is moved in a direction opposite to that of the force.
EXPLANATION :
The above answer can be explained by using the formula of work .
Work = Force × displacement × cos θ .
When the force is applied and displacement is in opposite direction , work done becomes :
Work = Force × displacement × cos 180°
⇒ Work = Force × displacement × ( - 1 )
Hence we get negative work .
For the other case , the work done is F S cos 0° where cos 0° is 1 and hence the work done is positive .
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